Viscoelastic phenomenology based structure assignment for closed-loop vibration control of a beam with sensors and actuators

In this paper we incorporate a novel approach to synthesize a class of closed-loop feedback control, based on the variational structure assignment. Properties of a viscoelastic system are used to design an active feedback controller for an undamped structural system with distributed sensor, actuator and controller. Wave dispersion properties of onedimensional beam system have been studied. Efficiency of the chosen viscoelastic model in enhancing damping and stability properties of one-dimensional viscoelastic bar have been analyzed. The variational structure is projected on a solution space of a closed-loop system involving a weakly damped structure with distributed sensor and actuator with controller. These assign the phenomenology based internal strain rate damping parameter of a viscoelastic system to the usual elastic structure but with active control. In the formulation a model of cantilever beam with non-collocated actuator and sensor has been considered. The formulation leads to the matrix identification problem of two dynamic stiffness matrices. The method has been simplified to obtain control system gains for the free vibration control of a cantilever beam system with collocated actuator-sensor, using quadratic optimal control and pole-placement methods.

Embedded Foundations Under Vertical Vibration

In this note, a simplified procedure based on energy consideration, has been developed, for the solution of steady-state vibration of a system with combined viscous and Coulomb friction damping, subjected to frequency in dependent and frequency dependent excitation, which yields results essentially same as the exact solution. The proposed method uses results essentially same as the exact solution. The proposed method uses equivalent damping which assumes that if the damping in a system is small, the total damping effect can be represented by that of an equivalent damper.